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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 187r

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.78.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 186v); this page is its right half.

The machine reads it as

  1. Est et alia s via Transformandi per additiones ordinatarum
  2. sit figura curvilinea cujus aequatio: y sequ a XX+ bx + C
  3. _3XX + ex + f
  4. Et alia cujus aequatio: gy7 + GZ + C2y + my + n aqu. 0
  5. sin
  6. assumentur h7 aequ p3 + qu fY. quo valore esubstituto in aequ. 2.
  7. fiet: +g yy + 9yp + ry A+ mqu + nir aqu. 0.
  8. Ap.
  9. + +
  10. xh
  11. compendii, causa ponatur 9Xp aequ. 0. et in aequ. 4 evanescet yy.
  12. cemp et: r + l + nip uodetur s et m r + n vodetur +.
  13. et ex aequ 4. fiet: qyY + sy m 9 v + + aequ. 0.
  14. et pro y ponendo vatorem ex aequ. 1. fiet:
  15. + ga XXV + qb XV + qdD + S’ a XxX + sb x + sC
  16. + ngd xxV + nq e xV + nq flv + td Xx + Fe X +t
  17. (10)
  18. ubi ut tyllatur xv tantum faciemus: a aequ. - nd.
  19. Tollatur et si faciamus e aequu-
  20. sit X ago b y
  21. sit rq acqz.b
  22. h
  23. Mit
  24. Tullel e ee
  25. (Z aqu. Exxrdx e denque: lx + nvx tnoaput quue
  26. Fxx +gX + si
  27. substituendo: valorem ipsius V ex aequ. 1. substatuendo in aequ. 3. fiet:
  28. (4)
  29. a + tubzs y +lbb yy + mazx + mb yX + na Z + nby = pX + 4 aqu. 0
  30. ponamus nunc C et f aequ. o item et pr. habetimius:
  31. et loco aequ. 4. fier: 1aa 22 +2 lab Zy + l bb gy + matz x + mb yx aq + q aequ.
  32. multiplicetur et Z aequ
  33. Vr
  34. detaticxtee
  35. Ergo lac d’ex+ d ext e +
  36. +dXX +Ch
  37. rr
  38. Et Daego
  39. 0 d x + C. ((axr q d XX+ INCX + e reglinahit
  40. D b. 9X + sit
  41. et (l aa a) laa
  42. lab y +m a x OD + Lbyy amo m 7
  43. rr
  44. Ir
  45. nig
  46. PDaequ. axte YI
  47. +h
  48. terminus=
  49. + egt

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 187r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0369?run=74